Quantum mechanical calculations, using both CASPT2 and DFT methods, for the model systems (MeMMMe, PhMMPh, (MeMMMe)(C6H6)2, ArMMAr, Ar^#MMAr^#; M = Cr, Fe, Co; Ar = C6H4-2(C6H5), Ar^# = C6H3-2,6(C6H3-2,6-Me2)2) are described. These studies were undertaken to provide a multireference description of the metal-metal bond in the simple dimers MeMMMe and PhMMPh (M = Cr, Fe, Co) and to determine the extent of secondary metal-arene interaction involving the flanking aryl rings of the terphenyl ligands in quintuply bonded Ar'CrCrAr' (Ar'= C6H3-2,6(C6H3-2,6-Pr'2< /INF>)2). We show that in the Cr-Cr species the Cr-arene interaction is a feeble one that causes only a small weakening of the quintuple bond. In sharp contrast, in the analogous Fe and Co species strong eta⁶-arene interactions that preclude significant metal-metal bonding are predicted.